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Homotopy Perturbation Method for Time-Fractional Shock Wave Equation

Homotopy Perturbation Method for Time-Fractional Shock Wave Equation
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Year:    2011

Author:    Mithilesh Singh, Praveen Kumar Gupta

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 6 : pp. 774–783

Abstract

A scheme is developed to study numerical solution of the time-fractional shock wave equation and wave equation under initial conditions by the homotopy perturbation method (HPM). The fractional derivatives are taken in the Caputo sense. The solutions are given in the form of series with easily computable terms. Numerical results are illustrated through the graph.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-m1137

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 6 : pp. 774–783

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Partial differential equation fractional derivative shock wave equation homotopy perturbation method.

Author Details

Mithilesh Singh

Praveen Kumar Gupta

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